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feat(fr): BN254 Fr native-field coprocessor on the modular stack#1538

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feat(fr): BN254 Fr native-field coprocessor on the modular stack#1538
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Depends on #1535 (modular SDK). Stacked: this PR's base is sagar/modular-sdk. GitHub will auto-rebase to main when #1535 merges.

Summary

Adds a BN254 Fr native-field coprocessor to the modular Jolt zkVM: a 16-slot Fr register file, 9 new RISC-V instructions (FieldMul / FieldAdd / FieldSub / FieldInv / FieldAssertEq / FieldMov / FieldSLL{64,128,192}), three new sumcheck instances wired into the existing Twist register-checking pipeline (Stage 3 FieldRegClaimReduction, Stage 4 FieldRegRW, Stage 5 FieldRegValEvaluation), and a Stage 6 bytecode-RAF anchor that closes the drop-event soundness gap by binding FR access to bytecode.

Replaces software arkworks Fr arithmetic on RV with native FieldOp instructions whose constraint witness is bound natively to the Fr field. Validated on a Poseidon2 BN254 t=3 permutation example (examples/bn254-poseidon2).

Design spec: specs/native-field-registers.md.

What's in / out of scope

In:

  • Tracer FR instructions + FieldRegEvent stream
  • 13 new R1CS rows (rows 19–31) + 3 V_FIELD_* slots; FMUL/FINV operands routed through the canonical product gate (row 36)
  • Sparse FR Twist (Stage 4 SparseFieldRegState) — no K_FR×T materialization
  • Stage 6 bytecode-RAF anchor (γ_fr · register_eq) — drop-event soundness
  • jolt-inlines/bn254-fr SDK with three-mode compile-time dispatch (host arkworks / compute_advice pass / pass-2 native FR ops)
  • #[jolt::provable(backend = "modular")] auto-builds the two-pass advice-tape ELF
  • bn254-poseidon2 example with --backend inline|native flag

Out:

  • ZK BlindFold for the FR sumcheck instances (blocked: needs BlindFold in modular stack)
  • Multi-field generalization (Stage 4/5 kernels are already F-generic; tracer + Stage 1 are BN254-pinned; ~150 LOC + per-field SDK to extend)
  • Pinned-slot SDK API (per-binary-op cost is 27 cycles; future work)

Performance (log_T = 18 on Poseidon2 BN254 t=3)

Metric inline (FR coprocessor) native (software ark Fr)
Guest cycles 35,890 252,969
Prove time ~2.7 s ~3.4 s

~7× guest cycle reduction, ~22 % prover-time reduction on this workload. Sparse FR replay keeps host RSS shape unchanged for FR-inactive traces (e.g. muldiv short-circuits via replay.events.is_empty()).

Soundness checks

The FR coprocessor underwent multi-round audits during development:

  • C-A2 init-zero anchor: Stage 5 lt(0, j) ≡ 0 algebraically forces FieldRegVal(addr, 0) = 0; no separate init-eval opening needed (same mechanism integer registers use).
  • C-A4 drop-event smuggle: closed by the Stage 6 bytecode-RAF anchor — sourcing the FR write slot from bc.frd (committed) rather than event.frd (uncommitted) means a dropped event leaves Stage 4 FrdWa short of the cycle's contribution, and the Stage 6 input-claim check rejects.
  • FMUL/FINV product gate: split FieldOp into 4 explicit kinds; FMUL/FINV operands route through R1CS row 36 (V_LEFT × V_RIGHT = V_PRODUCT) for tight native multiplication.
  • FINV(0): fails closed (tracer panic + SDK Option<Fr> guard).

Audit summary lives in the spec under "Invariants".

Test plan

  • cargo nextest run -p jolt-core — 419/419 pass
  • cargo nextest run -p jolt-core muldiv --features zk — primary correctness gate passes
  • cargo nextest run -p jolt-kernels — 63/63 pass, including 7 new FR Twist unit tests covering sparse-state population, alias coalescing, monotonic events, pow-2 register count, stray-event rejection, FrdWa parity vs bytecode-driven view on honest replays, and drop-event divergence the Stage 6 anchor catches.
  • cargo nextest run -p jolt-riscvfr_access_flags_match_per_kind_contract pins the host↔kernel FR-access classification table
  • cargo nextest run -p bolt — 60/60 pass after allowlist + LOC target bump
  • cargo nextest run -p jolt-equivalence — 7/7 active pass, 5 skipped (Stage 2/3 cross-stack tests #[ignore]d with reason; root cause is the R1CS shape divergence between modular's 47 inputs and jolt-core's 35, not a bug in our work)
  • 3-mode clippy clean (host / host+zk / no-default-features)
  • cargo fmt --all --check clean
  • cargo machete clean
  • wasm32 build succeeds
  • bn254-poseidon2 --backend inline prove + verify: valid: true
  • bn254-poseidon2 --backend native prove + verify: valid: true

Known stacking caveat — cross-stack parity tests

crates/jolt-equivalence/tests/bolt_commitment.rs has 2 Stage 2 cross-stack tests #[ignore]d (bolt_stage2_product_uniskip_real_muldiv_matches_jolt_core and bolt_stage2_batched_real_muldiv_self_parity). Pre-existing Stage 3 test was already ignored. These will re-enable when either jolt-core gains the FR R1CS columns or the cross-stack parity oracle moves to a modular-only fixture.

sagar-a16z added 30 commits May 15, 2026 15:39
Synthesized from 12 parallel investigation agents covering each FR
subsystem (CircuitFlags, tracer CPU state, FieldOp instruction,
FieldRegEvent stream, field instructions, jolt-riscv structs, R1CS
rows, FR Twist scaffolding, 3-sumcheck chain, bn254-fr SDK, examples,
audit fixes).

Captures: dependency graph, 5-phase execution plan, per-step
new-base touchpoints, aggregate scope (~4,300 LOC hand-written +
~1,500 LOC regenerated), realistic time estimate (12-16h), commit
plan (16 commits), key risks, and per-phase validation gates.
Extends `jolt_riscv::CircuitFlags` with:
  IsFieldMul, IsFieldAdd, IsFieldSub, IsFieldInv, IsFieldAssertEq,
  IsFieldMov, IsFieldSLL64, IsFieldSLL128, IsFieldSLL192

Verbatim port of 75fbe61 onto the modular stack. `NUM_CIRCUIT_FLAGS`
auto-bumps via `strum::EnumCount`; `CircuitFlagSet(u16)` capacity
unchanged (23 still fits u16).

Downstream `[bool; 14]` hardcodes propagated to `[bool; 23]` across
jolt-witness, jolt-kernels, jolt-verifier, bolt-emit, plus
`RV64_NUM_CIRCUIT_FLAGS` in jolt-kernels stage1. `stage1_rv64_flags`
and `stage6_circuit_flags` extended with the 9 new flag accesses.

The parallel `jolt_core::zkvm::instruction::CircuitFlags` enum on the
legacy backend is intentionally unchanged — the FR coprocessor is
modular-only, and the legacy R1CS shape needs no extension.

Validated: muldiv prove 2.1s / verify 0.17s / valid:true; bolt
commitment_ir regen-output check passes.
Extends `tracer::emulator::cpu::Cpu` with:
- `pub const FIELD_REG_COUNT: usize = 16`
- `pub struct FieldRegEvent { cycle_index, slot, old: [u64;4], new: [u64;4] }`
- `pub field_regs: [[u64; 4]; FIELD_REG_COUNT]` (natural-form limbs)
- `pub field_reg_events: Vec<FieldRegEvent>`

Both `Cpu::new` and `save_state_with_empty_memory` initialize/propagate
the new fields. No instructions consume them yet — those arrive with
FieldOp / FMov / etc. in subsequent this work commits.

Pure additive change; tracer + transitive consumers compile.
Adds the BN254 Fr native-field coprocessor's R-type instruction to the
tracer. Opcode 0x0B (custom-0) funct7 0x40 now routes to a dedicated
`FieldOp` variant in the Instruction/Cycle enums; funct7 != 0x40 still
falls through to INLINE.

- `tracer/src/instruction/field_op.rs` — 346 LOC: struct, decode/encode
  helpers, `RISCVTrace::trace` impl that emits one `FieldRegEvent` per
  cycle, and `NormalizedInstruction` round-trip. funct3 ∈ {0x02 FMUL,
  0x03 FADD, 0x04 FINV, 0x05 FSUB}.
- `tracer/src/instruction/mod.rs` — register `field_op` module + bring
  `FieldOp` into scope for `define_rv64imac_enums!`. Decode arm split:
  `0b0001011` now matches funct7 and routes 0x40 to `FieldOp::new`.
- `crates/jolt-riscv/src/lib.rs` — append `FieldOp` to
  `for_each_instruction_kind!` (auto-produces the kind variant via
  `define_instruction_kind!`).
- `crates/jolt-riscv/src/kind.rs` — register `JoltInstructionKind::FieldOp`
  in `has_side_effects` (mutates field-reg file + emits event).
- `tracer/Cargo.toml` — add `ark-bn254` (scalar_field) + `ark-ff` deps.

`NormalizedInstruction::From<FieldOp>` sets the new
`instruction_kind: JoltInstructionKind::FieldOp` (required field on
the modular base). Round-trip via `From<NormalizedInstruction>` loses
funct3 (no slot); defaults to FMUL — same limitation as the FR branch.

Validated: muldiv prove 2.2s / verify 0.18s / valid:true.
Adds `take_field_reg_events` accessor on `Emulator` /
`CheckpointingTracer`, and extends `tracer::trace(..)` from 5-tuple to
6-tuple: appends `Vec<cpu::FieldRegEvent>` drained from
`cpu.field_reg_events` after tracing.

Downstream tuple-destructuring updated everywhere `tracer::trace` is
consumed:
  - tracer/src/lib.rs (test harness × 2)
  - tracer/src/execution_backend.rs::TracerBackend::trace
  - jolt-core/src/guest/program.rs::Program::trace and free fn `trace`
    (wrapper return type also extended)
  - jolt-core/src/host/program.rs::Program::trace
  - jolt-core/src/zkvm/prover.rs prove pipeline

All consumers currently `_field_reg_events` the new field — the
modular SDK driver will consume it in a later phase to materialize
`FieldRegConfig.events` for the FR Twist witness. Pure additive
tuple extension; no behavior change for guests that don't emit
FieldOp / FMov cycles.

Validated: muldiv prove 2.2s / verify 0.17s / valid:true.
Adds the 5 single-cycle field instructions that round out the BN254 Fr ISA
beyond FieldOp (FMUL/FADD/FSUB/FINV):
- FieldAssertEq (funct7=0x40, funct3=0x06)
- FieldMov      (funct7=0x40, funct3=0x07) — integer→field on-ramp
- FieldSLL64    (funct7=0x41, funct3=0x00)
- FieldSLL128   (funct7=0x41, funct3=0x01)
- FieldSLL192   (funct7=0x41, funct3=0x02)

Decode arm at opcode 0x0B splits funct3 inside funct7=0x40 (FieldOp default,
0x06 → AssertEq, 0x07 → Mov) and adds a funct7=0x41 SLL sub-family path.
Each instruction registers its JoltInstructionKind, emits exactly one
FieldRegEvent, and respects the single-access invariant.

Validated: muldiv e2e (host) + 11 tracer field_* unit tests.
Adds typed per-instruction structs under crates/jolt-riscv/src/instructions/field/
mirroring the existing i/m/a/virt layout:
- FieldOp        — funct3 selects FMUL/FADD/FSUB/FINV at runtime (static flags
                   left empty; this work will wire funct3-dispatched IsFieldMul/
                   Add/Sub/Inv from the witness-gen path)
- FieldAssertEq  — circuit flag IsFieldAssertEq
- FieldMov       — circuit flag IsFieldMov
- FieldSLL64     — circuit flag IsFieldSLL64
- FieldSLL128    — circuit flag IsFieldSLL128
- FieldSLL192    — circuit flag IsFieldSLL192

Wires each new struct into:
- instructions/mod.rs re-exports
- LookupInstruction enum + TryFrom<NormalizedInstruction> dispatch
- impl_jolt_instructions_flags! Flags fan-out

Widens CircuitFlagSet from u16 → u32 to hold 23 flags (was 14). Downstream
.bits() consumers in jolt-core/jolt-kernels work as-is since they only use
`bits() & (1 << index)`.

Validated: muldiv e2e (host) + 12 jolt-riscv tests + clippy clean.
New jolt-inlines/bn254-fr/ crate exposes the 9 BN254 Fr coprocessor
intrinsics that emit R-type asm for opcode 0x0B (funct7 0x40/0x41):
- fmul/fadd/fsub/finv (FieldOp variants, funct3 0x02-0x05)
- field_assert_eq (funct3 0x06)
- field_mov (funct3 0x07, I→F low-limb)
- field_sll64/128/192 (funct7 0x41, I→F shift-left-N onto limb 1/2/3)

Guest-side: `.4byte`-encoded R-type instructions emitted as inline asm.
Host-side (`--features host`): `FieldRegFile` facade computing the same
semantics over ark-bn254 Fr for tests and host tooling that wants to
mirror the FR register file without going through the tracer.

Validated: 4 host FieldRegFile tests + muldiv e2e + clippy clean.
R1CS shape change for the BN254 Fr coprocessor. Adds 9 Fr flag slots
(36..=44) and 3 Fr virtual operand slots (45..=47) to the per-cycle
witness, shifts V_BRANCH 36→48 and V_NEXT_IS_NOOP 37→49, and bumps:

- NUM_R1CS_INPUTS:           35 → 47
- NUM_VARS_PER_CYCLE:        38 → 50  (still rounds to 64 padded)
- NUM_EQ_CONSTRAINTS:        19 → 32
- NUM_CONSTRAINTS_PER_CYCLE: 22 → 35

The 13 new eq-conditional rows (19–31) gate Fr semantics on the
per-op flags:

  19: IsFieldAdd      · (RD − RS1 − RS2)          = 0
  20: IsFieldSub      · (RD − RS1 + RS2)          = 0
  21: IsFieldAssertEq · (RS1 − RS2)               = 0
  22: IsFieldMov      · (RD − V_RS1_VALUE)        = 0
  23: IsFieldSLL64    · (RD − V_RS1_VALUE · 2^64) = 0
  24: IsFieldSLL128   · (RD − V_RS1_VALUE · 2^128) = 0
  25: IsFieldSLL192   · (RD − V_RS1_VALUE · 2^192) = 0
  26: IsFieldMul      · (RD − RS1 − RS2)  ← placeholder; FR Twist binds product
  27: IsFieldInv      · (RD − RS1)        ← placeholder; FR Twist binds inverse
  28: (1 − Σfr_flags)         · V_FIELD_RS1 = 0
  29: (1 − Σtwo_input_flags)  · V_FIELD_RS2 = 0
  30: (1 − Σwrite_flags)      · V_FIELD_RD  = 0
  31: IsFieldMov              · V_FIELD_RS2 = 0

this work will tighten rows 26/27 once the FR Twist sumchecks land.
Until this work populates Fr witness, every flag is zero so every new
row trivially satisfies — confirmed by `noop_satisfies_constraints`.

New `row_bigcoeff` + `Coef::Pow2 { exp, sign }` helper builds row
coefficients with exponents ≥ 128 via repeated 2^64 multiplication
(neither i128 nor u128 holds 2^128 / 2^192 directly).

Validated:
- 16/16 jolt-r1cs unit tests (incl. new `shape_invariants` and
  `pow2_to_field_matches_repeated_doubling`)
- muldiv e2e (host) — Fr rows inert, all original constraints intact
- bolt::commitment_ir 53/53 at new R1CS shape
- clippy -D warnings across jolt-r1cs / jolt-kernels / jolt-host
Lays the witness-side scaffolding for the BN254 Fr coprocessor. The
MLIR oracle family stays dormant in this phase (`field_reg_d = 0`,
gated everywhere) — that switch flips in this work once the FR Twist
sumchecks produce the source claims those openings reference.

What ships here:

- New `crates/jolt-witness/src/field_reg.rs` (~200 LOC + 5 unit tests):
    - `FrLimbs([u64; 4])` — natural-form 256-bit Fr operand
    - `FrCycleData { rs1_pre, rs2_pre, rd_post, rd_index, rd_written }`
    - `FieldRegEvent` mirror of the tracer's event record
    - `replay_field_regs(events, trace_len) -> Vec<FrCycleData>`
    - `sub_limbs` — borrow-aware 256-bit subtraction for FSUB
    - `FIELD_REG_COUNT = 16`, `LOG_K_FR = 4`

- `CycleInput` widened:
    - `NUM_DENSE_TRACE_COLUMNS: 2 → 3` (added `field_reg_inc`)
    - `NUM_ONE_HOT_TRACE_SOURCES: 3 → 4` (added `field_reg_indices`)
    - `DENSE_*` / `ONE_HOT_*` slot constants replace inline indices
    - `CommitmentTraceSources` carries `field_reg_inc` + `field_reg_indices`
    - `dense_cycle_source` / `one_hot_cycle_source` accept the new names
    - `cycle_input()` in jolt-kernels fills the FR slots with zeros on
      every non-FR cycle (inert default)

- `JoltProtocolParams` gains `field_reg_log_k = 4` and `field_reg_d`:
    - this work pins `field_reg_d = 0`. `num_committed`, the oracle list,
      `oracle_recipe`, and the MLIR emit ops all branch on `field_reg_d
      > 0`, so the inert path is byte-identical to the pre-Phase-3
      shape (commitment_ir 53/53 still green).
    - The schema attrs `field_reg_log_k`/`field_reg_d` are written on
      every protocol module, so this work just bumps `field_reg_d` and
      the consumers in `phases/commitment.rs` + `emit/rust/commitment.rs`
      pick up the new oracles via the recipe table.

Validated:
- 24/24 jolt-witness tests (incl. 5 new `field_reg::tests::*`)
- muldiv e2e (host)
- bolt::commitment_ir 53/53
- clippy -D warnings across jolt-witness / jolt-r1cs / jolt-kernels / bolt
Self-contained execution plan for the next session to land
this work — Stage 3 FieldRegClaimReduction (mirror of
RegistersClaimReduction).

Documents:
- this work–3 state and currently-green validation gates
- The this work bookkeeping debt (stage1's R1CS_INPUT_ORACLES still
  at 35 entries) that must be fixed before 4a, as Step 0
- All seven RegistersClaimReduction touchpoints across kernel,
  MLIR builder, and emit code, with exact line ranges
- FR mirror naming table (Registers* ↔ FieldReg*)
- Four critical differences (factor type, source wiring, eq point,
  non-FR gating) with bridge code
- Verified constants reference (R1CS slot indices, FR module
  surface, params fields)
- Test-fixture asserts that need bumping when `field_reg_d` flips
- Out-of-scope items (Stage 4 FieldRegRW + Stage 5 ValEval defer
  to 4c/4b)
- ~3hr effort estimate broken down by substep, gate cycles, commit plan
- Resume command for the next session's first prompt

Lets a fresh context window pick up exactly where this one left
off without re-reading the this work–3 history.
Extend the hardcoded R1CS_INPUT_ORACLES list in the Stage 1 MLIR builder
to cover the 12 oracles introduced by this work (9 V_FLAG_IS_FIELD_*
flag slots and 3 V_FIELD_* operand slots), and thread the new names
through both rv64 evaluators (typed + R1CS-backed) plus the
r1cs_oracle_variable lookup. Inert in this work — FR operand columns
evaluate to 0 until the FR Twist witness lights up.

Regen Stage 1 prover/verifier goldens (count 35 → 47). Bumped
commitment_ir test fixtures (count = 47, opening_claims.len = 48).
Mirror Stage 3 RegistersClaimReduction as a parallel FieldReg sumcheck:
γ-batched eq · (FieldRdWriteValue + γ·FieldRs1Value + γ²·FieldRs2Value).
Math is identical to Registers, so the new state reuses
`SumOfProductsKind::Registers` — only the eq point and factor source
differ.

Kernel side (`jolt-kernels/src/stage3.rs`):
- Add `Stage3Relation::FieldRegClaimReduction`,
  `Stage3KernelAbi::FieldRegClaimReduction`, registry test entries
- Extend `Stage3Cycle` with `is_field_op`, `field_rs1/rs2/rd: [u64; 4]`
  (zero in this work — populated by this work+ from FR event replay)
- Add `field_reg_state`, `field_reg_factors`, `expected_field_regs`,
  `fr_limbs_to_field` bridge (LE u64 limbs → Fr via from_le_bytes_mod_order)
- Wire prover + verifier dispatchers

MLIR builder (`bolt/.../phases/stage3.rs`):
- `FIELD_REG_CLAIM_REDUCTION_DEGREE = 2`
- `STAGE3_FIELD_REG_INPUTS = [FieldRdWriteValue, FieldRs1Value, FieldRs2Value]`
- New `jolt.stage3.field_reg_claim_reduction` relation
- 3 new opening inputs from stage1 (FieldRs1/Rs2/RdWriteValue)
- `stage3.field_reg.gamma` transcript squeeze + gamma2 derivation
- New sumcheck claim, instance result, output openings (3)
- `stage3.field_reg_claim_reduction.instance` (index 3)

Emit (`bolt/.../emit/rust/stage3.rs`):
- ABI dispatch arm
- Generated `expected_field_regs` template

Plus kernel-spec resolve dispatcher in stage1 phases for
`jolt.stage3.field_reg_claim_reduction`.

Gates:
- commitment_ir 53/53 ✅
- muldiv e2e ✅
- clippy clean ✅
this work is committed (bb52f9782). The standalone runbook was a one-shot

truth for the FR coprocessor port.
Lays down the dormant scaffolding for Stage 4 FieldRegRW. The kernel
function and MLIR relation/oracle/opening-input declarations are in
place but NOT yet activated in the batched sumcheck — the new relation
is unreachable from any plan, so commitment_ir and muldiv stay green.

Kernel side (`jolt-kernels/src/stage4.rs`):
- `Stage4Relation::FieldRegRW` + `Stage4KernelAbi::FieldRegRW` variants
  with `jolt.stage4.field_reg_rw` / `jolt_stage4_field_reg_rw` symbols
- `Stage4FieldRegWitness` struct (field_reg_count, trace_len, 5 polys)
- `Stage4ProverInputs.field_reg: Option<Stage4FieldRegWitness>` slot +
  `with_field_reg` builder
- `field_reg_rw_state` (mirror of `registers_read_write_state` for the
  Dense path; sparse phase-segmented path deferred to this work)
- `field_reg_dense_state` (5-factor γ-batched dense state, same shape
  as `registers_dense_state`)
- `expected_field_reg_rw` verifier closed-form
- Dispatchers in `Stage4ProverInstanceState::new` and
  `expected_batched_output_claim`

MLIR builder (`bolt/.../phases/stage4.rs`):
- `FIELD_REG_RW_DEGREE = 3` constant
- `STAGE4_FIELD_REG_INPUTS` / `STAGE4_FIELD_REG_OUTPUTS` arrays
- `jolt.stage4_field_reg_rw_domain` (log_size = field_reg_log_k + log_t)
- FR virtual oracles + committed FrdInc
- `jolt.stage4.field_reg_rw` relation declaration
- 3 new opening inputs from Stage 3's FieldReg outputs (sourced from
  `stage3.field_reg_claim_reduction.opening.{FieldRs1,FieldRs2,FieldRdWrite}Value`)
- `stage4_field_reg_rw_rounds` helper + `stage4_output_count` extended

NOT YET WIRED (next commit):
- `stage4.field_reg_rw.gamma` transcript squeeze
- Field-expression chain for the claim_expr
- FR sumcheck claim + instance result + output openings in the batched
  sumcheck builder
- Emit template ABI/verifier dispatch + raw-string `expected_field_reg_rw`
- KernelSpec resolve arm in `phases/stage1.rs`
- Stage 4 witness pipeline providing inert zero FR polynomials
- Goldens regen + commitment_ir fixture bumps

The unused-field warnings on the 3 new FieldReg opening inputs are
guarded with `#[expect(dead_code, reason = "consumed by this work FR
Twist wiring")]` so clippy stays green.

Gates:
- cargo clippy -p jolt-witness -p jolt-r1cs -p jolt-kernels -p bolt
  --all-targets -- -D warnings ✅
- cargo nextest run -p jolt-core muldiv --features host ✅
Threads the FR γ challenge into `Stage4BatchedSumcheckInputs`. Still
dormant — the gamma isn't yet consumed by a claim_expr (next commit
adds the field-expression chain + sumcheck claim + instance + output
openings).

`#[expect(dead_code)]` keeps clippy green until 4c.2 activates the
batched FR claim.
Captures the precise FR Twist protocol details verified against
feat/fr-coprocessor-v2's f37f9a9 commit (P1 cycle / P2 address phases,
ScalarCapture transition, first_active_round = log_k_reg - LOG_K_FR = 3).

For inert muldiv the 2-phase segmented logic collapses to a single
dense pass (already implemented). The remaining MLIR + emit + witness
wiring is enumerated step-by-step. Delete once this work lands.
Wires the dormant FR Twist sumcheck into Stage 4 as a third instance
alongside RegistersReadWrite + RamValCheck, mirroring the source
`feat/fr-coprocessor-v2` (commit f37f9a9) protocol shape:

  eq · frd_wa · (field_reg_val + frd_inc)
  + γ · eq · frs1_ra · field_reg_val
  + γ² · eq · frs2_ra · field_reg_val

The FR instance enters the batched sumcheck at round_offset =
register_log_k - field_reg_log_k = 3 (skipping the first 3 address
rounds, since LOG_K_FR=4 < log_k_reg=7) and runs for log_t +
field_reg_log_k rounds total.

Layered changes:
- MLIR phase: FR claim_expr (γ-batched 3 factors), sumcheck claim
  with `jolt.stage4.field_reg_rw` relation on
  `jolt.stage4_field_reg_rw_domain`, 5 output openings
  (FieldRegVal/FrRs1Ra/FrRs2Ra/FrdWa virtual + FrdInc committed),
  ordered_claims updated to 3 entries.
- Kernel: `normalize_stage4_field_reg_rw_point` (parallel to the
  registers normalizer but address rounds = `point.len() - cycle_rounds`
  rather than from `round_schedule[1]`, since FR has fewer address
  rounds than registers). Dispatcher arm for `"stage4_field_reg_rw"`
  point order.
- Emit template: ABI dispatch arm, verifier relation dispatch,
  `expected_field_reg_rw` reusing the cycle-point normalize.
- KernelSpec resolve dispatcher: `jolt.stage4.field_reg_rw` arm.
- Witness wiring: `Stage45SparseTraceWitness` carries pre-allocated
  zero buffers (`fr_zeros_k_t` length 16·T, `fr_zeros_t` length T);
  `with_stage45_sparse_trace_witness` attaches an inert
  `Stage4FieldRegWitness` so the FR sumcheck collapses to zero claims
  for FR-inactive programs (muldiv et al). FR-active replay lands in

- Goldens regenerated; commitment_ir fixture bumps (kernels 3→4,
  steps 4→5, claims 2→3, instance_results 2→3, evals 7→12,
  opening_inputs 8→11, field_exprs 9→14, point_slices 2→3,
  opening_claims 7→12, ordered_claims includes FR).

Gates: commitment_ir 53/53; muldiv host green; clippy clean on
jolt-witness/jolt-r1cs/jolt-kernels/bolt. jolt-core parity divergence
(`bolt_stage2_*_matches_jolt_core`, `_self_parity`) is pre-existing
and expected per the FR-port protocol (R1CS column set differs from
unmodified jolt-core).
Wires the FR Val Evaluation sumcheck into Stage 5 as a fourth instance
alongside InstructionReadRaf + RamRaClaimReduction +
RegistersValEvaluation, mirroring the source `feat/fr-coprocessor-v2`
(commit f37f9a9) protocol shape:

  frd_inc · frd_wa_at_addr · LT(cycle_point)

The FR Val Evaluation consumes the `stage4.field_reg_rw.opening.FieldRegVal`
point published by this work. The cycle phase from that point drives the
LT polynomial; the address phase (LOG_K_FR=4) gathers `frd_wa[address * T
+ cycle]` against eq(address).

Instance lives at round_offset = instruction_log_k, point_arity = log_t,
point_order = "reverse" — same shape as RegistersValEvaluation.

Layered changes:
- MLIR phase: new relation `jolt.stage5.field_reg_val_evaluation`,
  Stage4-sourced opening input `stage5.input.stage4.field_reg.FieldRegVal`,
  sumcheck claim (4th entry), 2 output openings (FrdInc committed +
  FrdWa virtual on FR domain, point = [field_reg_address, cycle]).
- Kernel: Stage5Relation::FieldRegValEvaluation + Stage5KernelAbi
  variant, Stage5FieldRegValWitness, Stage5ProverInputs.field_reg_val
  slot + with_field_reg_val builder, `field_reg_val_evaluation_state`
  (degree-3 dense kernel: frd_inc × frd_wa_at_addr × lt),
  `frd_wa_at_field_reg_address` gatherer, `expected_field_reg_val_evaluation`,
  dispatch arms. `with_stage45_sparse_trace_witness` attaches an inert
  zero witness from the Stage45SparseTraceWitness FR buffers.
- Emit template: ABI dispatch + verifier relation dispatch +
  `expected_field_reg_val_evaluation` (suffix-of-stage4 cycle point,
  reverse(local) reduced point, LT eval).
- KernelSpec resolve dispatcher: `jolt.stage5.field_reg_val_evaluation` arm.
- Goldens regenerated; commitment_ir fixture bumps (stage5 kernels
  4→5, claims 3→4, instance_results 3→4, opening_inputs 8→9, evals
  and opening_claims +2, point_slices +1, point_concats +1).

Gates: commitment_ir 53/53; muldiv host green; clippy clean on
jolt-witness/jolt-r1cs/jolt-kernels/bolt.
Portable software-Fr Poseidon2 BN254 t=3 permutation example, ported
verbatim from `feat/fr-coprocessor-v2` commit 11fd625 (the arkworks
variant — no FR coprocessor in guest, just stock `ark_bn254::Fr`
arithmetic). Mirrors the existing muldiv example's host-side pattern
(compile_*, prove_*, verify_*) with `#[jolt::provable(backend =
"modular", ...)]` on the guest entry point.

HorizenLabs Poseidon2 BN256 parameters: d=5, R_F=8, R_P=56, t=3,
MDS_int diag=[1,1,2].

Trace ceiling clamped to 262_144 (= 2^18) to stay within the goldens-
baked fixture limit. Source's 4_194_304 ceiling targets log_t=22 which
the current modular-sdk fixture ladder doesn't yet support. When 5b
lands real FR replay materializers, the SDK variant will measure ~7×
fewer cycles than this baseline.

poseidon2-sdk variant; the inert FR sumchecks landed in 4b/4c.2
remain trivially satisfied (all FR polys zero).

Gates: clippy clean on the new crates, host binary builds.
Adds the foundational materializer types in jolt-witness that turn a
FieldRegEvent stream + per-cycle bytecode metadata into the five FR Twist
polynomials consumed by Stage 4 (FieldRegRW) and Stage 5
(FieldRegValEvaluation):

- FrCycleBytecode { frs1, frs2, frd, reads_frs1, reads_frs2 } —
  per-cycle bytecode snapshot; mirrors the source-branch
  feat/fr-coprocessor-v2 commit 06a7898 shape with frd added.
- FieldRegReplay { num_cycles, bytecode, events } + ::empty(t) helper.
- materialize_field_reg_val<F>(): K_FR × T running register-file state,
  encoded via limbs_to_field.
- materialize_frs1_ra<F>() / materialize_frs2_ra<F>(): K_FR × T one-hot
  reads gated by FrCycleBytecode.reads_frs{1,2}.
- materialize_frd_wa<F>(): K_FR × T one-hot writes drawn from the event
  stream (matches FrdInc commit shape — single write per cycle).
- materialize_frd_inc<F>(): T-length write delta `rd_post - val_pre@slot`,
  zero on non-writing cycles.
- limbs_to_field<F>([u64; 4]): natural-form a0 + a1·2^64 + a2·2^128 +
  a3·2^192 encoding shared by val/inc materializers.

All materializers short-circuit to the all-zero shape when `events`
is empty — same buffers the inert Stage45SparseTraceWitness already
attaches for FR-inactive programs (muldiv, sha2, etc.). Stage 4/5 FR
sumchecks remain trivially satisfied in that path.

6 new unit tests in field_reg::tests cover:
- empty replay → zero buffers
- frs1_ra one-hot at the bytecode-marked read cycle
- frd_wa one-hot at the event cycle/slot
- field_reg_val tracking running state across 2 writes to slot 5
- frd_inc = post - pre across consecutive writes to the same slot
- limbs_to_field little-endian assembly

jolt-prover) lands in follow-up commits along with the tracer-event
flow (currently `_field_reg_events` is captured but discarded in
tracer/src/execution_backend.rs:41).

Gates: jolt-witness 30/30 nextest green, muldiv host green, clippy
clean on jolt-witness/jolt-r1cs/jolt-kernels/bolt.
Splits the two shared zero buffers (fr_zeros_k_t, fr_zeros_t) into the
five FR Twist polynomials that Stage 4 FieldRegRW and Stage 5
FieldRegValEvaluation actually consume:

- field_reg_val: K_FR × T running register state
- frs1_ra / frs2_ra: K_FR × T one-hot reads
- frd_wa: K_FR × T one-hot writes
- frd_inc: T-length write deltas

Defaults all five to zero — same shape Stage 4/5 sumchecks see today
for FR-inactive programs. Callers carrying a FieldRegEvent stream
opt into materialization via the new
`Stage45SparseTraceWitness::with_field_reg_replay(replay)` builder,
which dispatches into the materializer methods landed in the previous
commit. The builder is safe to call unconditionally — if replay.events
is empty the materializers still return zero shapes.

Downstream slice borrows in `Stage4ProverInputs::with_stage45_sparse_trace_witness`
and `Stage5ProverInputs::with_stage45_sparse_trace_witness` now point
at the per-poly buffers instead of the merged zero buffer.

Gates: jolt-witness 30/30 nextest green, muldiv host green, clippy
clean on jolt-witness/jolt-r1cs/jolt-kernels/bolt. No commitment_ir
deltas (the witness shape change is internal to the prover path).
Threads tracer-emitted FieldRegEvents end-to-end into the FR Twist
materializers landed in the previous two commits. For FR-active
programs (poseidon2-sdk et al), Stage 4 FieldRegRW and Stage 5
FieldRegValEvaluation now see materialized FR polynomials instead of
the all-zero shape.

Step 1 — return FR events from Program::trace:
- jolt-core/src/host/program.rs: Program::trace now returns a 5-tuple
  (LazyTraceIterator, Vec<Cycle>, Memory, JoltDevice,
   Vec<tracer::emulator::cpu::FieldRegEvent>) — the events that were
  previously captured as `_field_reg_events` and discarded.
- jolt-sdk/macros/src/lib.rs: guest_trace 5-tuple destructure → 6-tuple
  (the macro pulled events implicitly through tracer::trace).
- jolt-core/src/zkvm/prover.rs + benches: 16 callsites widened to
  ignore the new `_field_reg_events` slot.

Step 2 — derive FrCycleBytecode from the trace:
- crates/jolt-host/src/lib.rs::fr_bytecode_from_trace walks the trace
  rows and pattern-matches JoltInstructionKind::{FieldOp, FieldAssertEq,
  FieldMov, FieldSLL64/128/192} to populate reads_frs1/reads_frs2 +
  frs1/frs2/frd slot indices. NormalizedInstruction doesn't carry the
  FieldOp funct3 so FMUL/FADD/FSUB/FINV all read as (true, true) — an
  overstatement on FINV's frs2_ra one-hot, but Poseidon2 doesn't use
  FINV so the approximation is safe for the upcoming SDK example.
- crates/jolt-host/src/lib.rs::convert_fr_events bridges the tracer
  event shape (cycle_index, slot, old, new) to the jolt-witness shape
  (cycle, frd, rd_post, rd_written=true). The materializers only need
  frd / rd_post / rd_written; other fields stay default.

Step 3 — attach FieldRegReplay to Stage 4/5 witness:
- crates/jolt-host/src/lib.rs::assemble_and_prove: builds a
  FieldRegReplay (padded bytecode to trace_length + converted events),
  then constructs Stage45SparseTraceWitness once and chains
  .with_field_reg_replay(&replay) onto it. Switches the per-stage
  callers from prove_stage4/5_with_trace_witness_inputs (which build
  their own inert witness internally) to prove_stage4/5_with_witness_inputs
  (which accept the pre-built witness).
- crates/jolt-prover/src/prover.rs + crates/bolt/.../artifacts.rs:
  JoltProverWitnessInputs gains a `field_reg_replay: Option<&FieldRegReplay>`
  field. When attached, `prove_jolt_with_witness_inputs` applies the
  same `.with_field_reg_replay(replay)` chain after the inert witness
  is built. Default None preserves the FR-inactive path for callers
  that don't carry FR events (jolt-equivalence's bolt_oracle gets a
  field_reg_replay: None).

Goldens regenerated; no fixture counts changed (the witness shape
change is internal to the prover path — FR sumchecks already had the
right oracle wiring from this work/4c.2).

Gates: jolt-witness 30/30 nextest green, muldiv host green (FR
events list is empty → materializers return zero buffers → claims
trivially satisfied), bolt commitment_ir 53/53 green, clippy clean
on jolt-witness/jolt-r1cs/jolt-kernels/jolt-host/bolt.

end-to-end validation gate. Adapted from source feat/fr-coprocessor-v2
commit 11fd625 — coming in next commit.
SDK example with high-level Fr newtype + 2-pass advice mechanism)

The SDK example port is blocked on porting the 2-pass `compute_advice`
machinery in jolt-inlines/bn254-fr/src/sdk.rs from source commit
11fd625 (485 LOC vs current 315 LOC) — that's its own ~170 LOC of
work involving VirtualHostIO + ADVICE_LD + FieldAssertEq binding.
Poseidon2 SDK example. The proof currently fails at Stage 4 FieldRegRW
with an input-claim mismatch — the final synchronization between the
materialized FR Twist polys and the R1CS V_FIELD_RS1/RS2/RD_WRITE_VALUE
columns. Every other layer (ELF decode, 2-pass advice tape, FR event
flow, witness build) is operational.

What this commit lands:

1. **High-level Fr newtype** (`jolt-inlines/bn254-fr/src/sdk.rs`,
   485 LOC verbatim from `feat/fr-coprocessor-v2@11fd625`):
   - `Fr { limbs: [u64; 4] }` with `add` / `sub` / `mul` / `inverse`
     methods that dispatch on cfg:
     - `host`: directly via `ark_bn254::Fr`
     - `compute_advice` (RISC-V Pass-1): compute via ark + write 4
       result limbs to advice tape via `VirtualHostIO`
     - default RISC-V (Pass-2): emit 7-cycle Horner-load sequence
       (FieldMov + FieldSLL64/128/192 + FieldAdd) for each operand,
       one FieldOp cycle, then 4 × ADVICE_LD + 7-cycle reconstruction
       + FieldAssertEq to bind the FieldOp output to the advice limbs.
   - New `encode.rs` module (225 LOC) with `encode_fmul` / `encode_fadd`
     / `encode_field_mov` / `encode_field_sll64/128/192` /
     `encode_field_assert_eq` const fns used by the asm-emitting paths.
   - New `compute_advice` cargo feature gates the ark imports.

2. **Two-pass build/trace plumbing** (`jolt-core/src/host/program.rs`):
   `Program::trace` now runs the `elf_compute_advice` ELF first to
   populate the advice tape via VirtualHostIO writes, then traces the
   regular ELF with that tape seeded so each ADVICE_LD lands a
   precomputed FR limb. Programs without an advice ELF stay on the
   single-pass path. Already-built ELF-pair workflow from
   `compile_*` macro is unchanged.

3. **ELF decoder routing for FR opcodes** (`crates/jolt-program/src/image/decode.rs`):
   Custom-0 opcode 0x0B was conflated with `Inline` (opcode 0x2B). Split
   the dispatch so 0x0B routes through a new `decode_field_op_or_inline`
   helper that classifies on funct7/funct3:
   - funct7 = 0x40, funct3 ∈ {0x02..=0x05} → `FieldOp` (FMUL/FADD/FSUB/FINV)
   - funct7 = 0x40, funct3 = 0x06 → `FieldAssertEq`
   - funct7 = 0x40, funct3 = 0x07 → `FieldMov`
   - funct7 = 0x41, funct3 ∈ {0, 1, 2} → `FieldSLL{64,128,192}`
   - Anything else falls back to Inline (for SHA3/keccak/etc inlines).
   Added FR variants to `uses_r_format` so operands decode as R-type
   (frd/frs1/frs2 in the rd/rs1/rs2 fields).

4. **R1CS witness post-pass** (`crates/jolt-host/src/lib.rs`):
   `extract_trace_rows` leaves V_FIELD_RS1/RS2/RD_WRITE_VALUE at zero;
   Stage 3 FieldRegClaimReduction reads those columns and Stage 4
   FieldRegRW reconciles against the materialized FR polys.
   `populate_r1cs_fr_slots` walks the `FieldRegReplay` running state to
   set rs1_pre / rs2_pre / rd_post on each FR-active cycle, encoded via
   `limbs_to_field`. Same iteration order as the materializer.

5. **bn254-fr-poseidon2-sdk example** (~1,400 LOC guest verbatim from
   source `11fd62596` + macro adapted to `backend = "modular"` and
   `max_trace_length` clamped to 2^18 for the goldens-baked fixture).

Known remaining: Stage 4 input-claim mismatch despite all 4 sides
(R1CS V_FIELD_RS1/RS2/RD_WRITE, materializer field_reg_val/frs1_ra/
frs2_ra/frd_wa/frd_inc) being computed from the same FieldRegEvent +
FrCycleBytecode source. Likely a subtle polynomial-ordering or
endianness slip in the materializer or the post-pass. The fix lands
in a follow-up; the foundational machinery (2-pass, decoder, Fr
newtype, witness wiring) is in place.

Gates: muldiv host green, clippy clean on the full FR stack, bolt
commitment_ir goldens regenerate clean (no fixture deltas).
(FieldRs1Value/FieldRs2Value/FieldRdWriteValue) used to hardcode
`Stage1Rv64Scalar::U64(0)` (this work placeholder, source comment said
"populated when this work wires up the FR Twist witness path"). Stage 3
FieldRegClaimReduction reads those openings, batches them with γ, and
publishes the result as Stage 4's input_claim. With the oracle stub
returning 0 unconditionally, Stage 4 saw input_claim = 0 while the
materialized FR Twist polys summed to a non-zero value — instant
"stage4 relation input claim mismatch" at round 0 of the FR RW
sumcheck.

Wired up end-to-end so the oracle reads real FR slot values from a
per-cycle source:

- `Stage1Rv64Scalar::Fr(Fr)` variant with `fmadd_rv64_scalar` handling
  via `add_positive_field(field * fr_value)` (full-width 256-bit
  multiply rather than going through the 128-bit-bounded limb
  accumulator path).
- `Stage1Rv64Cycle::field_rs1 / field_rs2 / field_rd: [u64; 4]`
  natural-form FR slot snapshots; defaulted to `[0; 4]` in the
  constructor and in `padding()`.
- `FieldRs1Value`/`FieldRs2Value`/`FieldRdWriteValue` oracles' `scalar()`
  now returns `Fr(field_reg_limbs_to_fr(row.field_*))` instead of
  `U64(0)`.

Plus the post-pass that fills those fields:

- `populate_fr_cycle_fields` in jolt-host walks the `FieldRegReplay`
  running state once and stamps both `Stage1Rv64Cycle.field_*` (for
  Stage 1 outer's matrix-mul accumulator + the virtual-oracle MLE
  evaluator) and `Stage3Cycle.field_*` + `is_field_op` (for Stage 3's
  factor population). Same iteration order as the Stage 4 materializer
  in `Stage45SparseTraceWitness::with_field_reg_replay`, so all four
  consumers (R1CS witness, Stage 1 cycles, Stage 3 cycles, Stage 4
  materializer) see consistent pre/post values per cycle.

Result: `cargo run --release -p bn254-fr-poseidon2-sdk` now proves +
verifies with `valid: true` in ~3.1 s prove / ~0.2 s verify, exercising
the full FR coprocessor through Stage 4 FieldRegRW + Stage 5
FieldRegValEvaluation against the materialized FR Twist polynomials
from 16,123 FieldRegEvents over 35,890 trace cycles.

Gates: muldiv host green (no FR events → all FR machinery short-
circuits to zero shape), jolt-witness 30/30, bolt commitment_ir
goldens regenerate clean, clippy clean on the full FR stack.
sagar-a16z added 20 commits May 17, 2026 11:09
…t C8 FINV(0) panic

Host-side Stage45SparseTraceWitness now carries just the sparse
FieldRegReplay (events + bytecode, ~few KB) instead of five K_FR×T
dense Fr buffers (~520 MB at log_T=20):
  - field_reg_val, frs1_ra, frs2_ra, frd_wa, frd_inc
The kernel still materializes these K_FR×T factors for the duration
of Stage 4 RW / Stage 5 ValEval sumcheck via the existing
`replay.materialize_*` helpers, then drops them. This shifts the
peak from steady-state host residency to transient kernel scope.

Stage 5 frd_wa_at_field_reg_address is now genuinely sparse: it
walks `replay.events` directly and accumulates `address_eq[ev.frd]`
into the writing cycles, avoiding the K_FR×T frd_wa intermediate.

Note: kernel-side `eq_cycle_expanded` and `frd_inc_expanded` in
`field_reg_rw_state` still duplicate K_FR copies of T-vectors —
eliminating those requires a `SparseFieldRegState` analogous to
`SparseRegistersState<F>` (stage4.rs:1782) with its own
`bind_sparse_*` / `*_split_round_coefficients`. Tracked as follow-up.

Audit C8 (FINV(0) bypass): tracer::FieldOp now panics on `0⁻¹` rather
than silently filling zero. The SDK's `Fr::inverse() -> Option<Fr>`
already guards the SDK path; this catches inline-asm callers that
bypass the SDK and would otherwise produce a non-provable trace
that fails inside Stage 4 RW.

Validation:
- bn254-fr-poseidon2-sdk e2e proves+verifies (exit 0)
- jolt-witness: 30/30 tests pass
- jolt-kernels: 56/56 tests pass
- cargo check across jolt-host/kernels/witness/prover/core clean
…on in Stage 4 RW

Ports the sparse cycle-major matrix pattern from feat/fr-coprocessor-v2's
`field_registers.rs` (on refactor/crates) into the modular-sdk's kernel
layout, mirroring the existing `SparseRegistersState<F>` template in
this same file. The FR variant differs in three ways:
  1. `prev_val` / `next_val` are field elements (Fr is 254-bit; the
     integer-register u64 memory optimisation doesn't apply).
  2. `K_FR = 16` (4 address bits) vs `REGISTER_COUNT = 128`.
  3. Driven by `FieldRegReplay` (per-cycle bytecode + sparse event
     stream) rather than `Stage4RegisterAccess`. Reads come from
     `bytecode[cycle].reads_frs1`/`reads_frs2`; writes come from
     `event.rd_written` + `event.rd_post`.

Sparse round_poly walks at most `3 × #FR_events` entries (sorted by
row, then col within each row) instead of expanding `K_FR × T`
factors. For Poseidon2-SDK at log_T=18 this is roughly 9K entries
vs the prior 4M dense materialization — a ~440× reduction in the
hot-loop working set, plus the kernel-side transient peak drops
from ~3 GB down to a few MB.

Stage 4 final claim recovery follows the registers playbook:
  - Combine `γ · frs1_ra + γ² · frs2_ra` into a single `read_ra`
    coefficient per entry; track frs2 reads separately as `(row,
    col)` pairs.
  - At `trace_len == 1`, materialize a K_FR-sized DenseStage4State
    with the 3-term combined form (eq · frd_wa · val + eq · frd_wa
    · inc + eq · read_ra · val) and let it drive the remaining
    address-axis rounds.
  - In `final_evals`, recover `frs1_ra = (read_ra - γ²·frs2_ra) ·
    γ⁻¹`. Debug-builds assert the recovered combined value matches.

`field_reg_dense_state` is removed; FR Stage 4 RW now has no dense
path. `Stage5FieldRegValWitness` already consumed the sparse replay
in the prior commit, so Stage 5 needs no further change.

Validation:
- bn254-fr-poseidon2-sdk e2e proves+verifies (exit 0)
- jolt-kernels: 56/56 tests pass
- cargo clippy clean across jolt-kernels/jolt-host/jolt-prover/jolt-witness
…otone

Removes code that was orphaned after the Stage 4 sparse port:
  - `FieldRegReplay::materialize_field_reg_val` (K_FR×T register-file snapshot)
  - `FieldRegReplay::materialize_frs1_ra` / `_frs2_ra` / `_frd_wa` (K_FR×T one-hots)
  - `FrCycleData` struct + `replay_field_regs` helper (T-length cycle table)
  - The four corresponding test cases in `field_reg::tests`

Only `materialize_frd_inc` (T-length write deltas) remains — it's still
called by both Stage 4 (`SparseFieldRegState::new`) and Stage 5
(`field_reg_val_evaluation_state`). ~280 LOC removed.

Hardening from correctness audit (H3 + H4): `SparseFieldRegState::new`
now asserts FR events are strictly increasing by cycle. The sparse
round-poly pairs entries by `row / 2` and assumes monotone row
ordering; duplicate or out-of-order events would silently mis-pair
during binding. The host's `convert_fr_events` is the only producer
today and emits in trace order, so this is defense-in-depth against
a future producer regression.

Validation:
- bn254-fr-poseidon2-sdk e2e proves+verifies (prove 2.75s, valid: true)
- jolt-witness + jolt-kernels: 81/81 tests pass
- cargo check clean across jolt-kernels/jolt-host/jolt-prover/jolt-witness
…registers spec

The port plan was the precursor — a forward-looking design doc. Now

captures the shipped state: 16 × 256-bit FR registers, 9 RISC-V
instructions (FMUL/FADD/FSUB/FINV/FAssertEq + FieldMov + 3× FieldSLL),
3-stage FR Twist sumcheck (Stage 3 ClaimReduction → Stage 4 RW →
Stage 5 ValEvaluation), sparse cycle-major matrix in SparseFieldRegState,
and the host-side replay plumbing.

Format follows specs/TEMPLATE.md — Goal / Invariants / Non-Goals /
Acceptance / Testing Strategy. File:line citations throughout.
Includes a small "open follow-ups" section listing the remaining
T-sized vectors (frd_inc, frd_wa_at_address, bytecode), gated FR
oracle paths (FieldRegInc/FieldRegRa_*), ZK BlindFold integration,
and pinned-slot SDK API as known gaps — not as implementation
commitments.
…R1CS rows

Closes the soundness gap from commit 559bcc36f6 (this work) where FMUL and
FINV R1CS rows were tagged PLACEHOLDER and explicitly relied on a downstream
arithmetic check that never got written. The audit (3 subagents) confirmed
the prover could produce arbitrary FR values from FMUL/FINV cycles as long
as they were internally consistent — the existing FR Twist proves memory
consistency, not arithmetic.

Mirrors the elegant pattern from feat/fr-coprocessor-v2's rows 21-26: route
FR operands through the canonical product gate already enforced unconditionally
in row 36 (`V_LEFT_INSTRUCTION_INPUT × V_RIGHT_INSTRUCTION_INPUT = V_PRODUCT`).
All new rows are degree-2 and reuse existing R1CS slots — no new sumcheck,
no new commitments, no new witness columns.

**Part 1 — split FieldOp → 4 instruction kinds**
`FieldOp` was a single JoltInstructionKind whose runtime funct3 selected FMUL/
FADD/FSUB/FINV. The macro-generated static circuit_flags() was therefore empty,
making `V_FLAG_IS_FIELD_MUL/ADD/SUB/INV` always-zero in the committed bytecode
and rendering rows 19/20/26/27 vacuous. Split into four kinds — `FieldMul`,
`FieldAdd`, `FieldSub`, `FieldInv` — each with `circuit flags: [IsFieldX]`.
- crates/jolt-riscv: 4 new instruction files + Instruction enum/conversion arms +
  for_each_instruction_kind + has_side_effects + impl_jolt_instructions_flags.
- tracer: 4 new instruction files (declare_riscv_instr! with funct3-specific
  MATCH), shared field_arith_common.rs for Fr↔limbs + the per-cycle trace body.
  Decoder dispatches funct3 → distinct kind at line 1102 in instruction/mod.rs.
- jolt-program decode: per-funct3 SourceInstructionKind mapping.
- jolt-host fr_bytecode_from_trace: per-kind read flags. FINV no longer
  overstates `reads_frs2 = true` (fixes audit finding C-A3).

**Part 2 — FMUL/FINV R1CS rows (6 new degree-2 rows)**
crates/jolt-r1cs/src/constraints/rv64.rs rows 26-31:
- FMUL: IsFieldMul · (LeftInput − FieldRs1) = 0; IsFieldMul · (RightInput −
  FieldRs2) = 0; IsFieldMul · (Product − FieldRd) = 0. Combined with the
  unconditional row 36 `Left × Right = Product`, this enforces
  `FieldRs1 · FieldRs2 = FieldRd` natively.
- FINV: same shape but Right = FieldRd (advice-supplied inverse), Product = 1.
  Row 36 then forces `Rs1 · Rd = 1`, so `Rd = Rs1⁻¹`. Wrong advice makes the
  product gate unsatisfiable — same forgery-resistance trick the codebase
  uses for division-with-advice.
NUM_EQ_CONSTRAINTS: 32 → 36; NUM_CONSTRAINTS_PER_CYCLE: 35 → 39.

**Part 3 — witness population**
crates/jolt-host/src/lib.rs::populate_r1cs_fr_slots: on FMUL/FINV cycles also
populate V_LEFT_INSTRUCTION_INPUT, V_RIGHT_INSTRUCTION_INPUT, V_PRODUCT, and
the V_LEFT/RIGHT_LOOKUP_OPERAND slots forced by rows 6 and 10 on non-integer
arithmetic cycles. Per-cycle FMUL/FINV discrimination uses
`trace[c].instruction.instruction_kind`, which now reflects funct3 after Part 1.

**Part 4 — golden regen + validation**
- bn254-fr-poseidon2-sdk e2e proves+verifies; valid: true (prove 2.76s).
- jolt-witness + jolt-kernels + jolt-riscv + jolt-r1cs: 109/109 tests pass.
- bolt commitment_ir: 53/53 tests pass (goldens regenerated for the
  3-constraint count bump).
- clippy clean across tracer/jolt-riscv/jolt-r1cs/jolt-program/jolt-witness/
  jolt-kernels/jolt-host/jolt-prover.
- Also fixed an unrelated `replay.clone()` regression in the Bolt artifact
  prover.rs template (caught by the uniform-crate-layout test).

Audit response coverage:
- C-A1 (FMUL/FINV not arithmetically constrained): CLOSED.
- C-A3 (FINV reads_frs2 overstatement): CLOSED.
- C-A2/C-A4 (FR init state + event/bytecode sync) still open; tracked for follow-up.
… semantics

Addresses the 4 LOW findings from the post-fix audit:

1. rv64.rs header docstring + row-block comment said rows are 0-31 / 32-35
   ("Until this work wires FieldReg witness..."). Now correctly states 0-35 /
   36-38 and references the per-kind `circuit flags: [IsFieldX]` declarations.
2. FMUL/FINV row block comments at rv64.rs:530, :566 said "row 32" for the
   product gate — corrected to "row 36" after the FieldOp split renumbering.
3. `convert_fr_events` in jolt-host hardcoded `rd_written: true`. Now derives
   from `new != old`. FieldAssertEq (slot = frs1, value unchanged) naturally
   gets `rd_written = false` and stays out of the FR Twist's write-side
   accounting — the only meaningful semantic change.
4. tracer/src/instruction/field_assert_eq.rs:114 had `slot: frs1` with no
   explanation. Added a comment explaining FAssertEq has no destination
   register (FormatR.rd reserved) and that `old == new` propagates
   `rd_written = false` downstream.

No R1CS/protocol changes; bn254-fr-poseidon2-sdk e2e still proves+verifies
(prove 2.63s, valid: true). C-A2 (FR init state) and C-A4 (event/bytecode
sync) remain open MEDIUM, tracked for the next pass.
C-A2 from the security audit asked: where is the FR register file's initial
state constrained to zero? An exploration of how integer registers handle the
same question revealed there is no explicit init constraint for either —
both use the same algebraic mechanism, and RAM is the outlier (because ELF
init values aren't all zero).

The mechanism: Stage 5 FieldRegValEvaluation proves
    FieldRegVal(addr, t) = Σ_j FrdInc(j) · FrdWa(addr, j) · lt(t, j)
At t = 0 the lt(0, j) MLE is identically zero, so the sum is empty and the
sumcheck forces FieldRegVal(addr, 0) = 0 for every address. A malicious
prover claiming any non-zero init would fail this check. Mirrors
registers_val_evaluation_state at stage5.rs:2853; RAM differs because it
binds against a precomputed-public RamValInit opening (RAM init = ELF
image, not all zero).

Changes:
  - crates/jolt-kernels/src/stage4.rs: doc comment at SparseFieldRegState::new
    explaining the lt-truncation init anchor.
  - crates/jolt-kernels/src/stage5.rs: doc comment on
    `field_reg_val_evaluation_state` calling out the dual role of the sumcheck
    (consistency + init-state pin).
  - specs/native-field-registers.md: expanded the "Initial FR state is zero"
    invariant to cite the lt-truncation mechanism, the analog in integer
    registers, and the RAM contrast.

No code/protocol changes; pure documentation. C-A2 closed (false-positive
soundness alarm; mechanism already in place). C-A4 (event/bytecode sync)
remains open MEDIUM as before.
…spec

Cleans references to internal phase milestones (this work-5d) and to the
deleted port-plan spec that were embedded in comments / docstrings during
the FR coprocessor build-out. The phase numbering was project-internal
journaling; readers of the source today don't need to know about it, and
the original port-plan doc is gone.

Touched:
  - crates/bolt/src/protocols/jolt/params.rs — replaced "this work" / "this work"
    references with the actual gating condition (`field_reg_d > 0`).
  - crates/jolt-kernels/src/trace.rs — generic comment on the FR-inert
    default for `FieldRegInc` on non-FR cycles.
  - crates/jolt-r1cs/src/constraints/rv64.rs — Fr operand slots now
    documented as bound to Stage 4 FieldRegRW directly.
  - crates/jolt-witness/src/lib.rs — `CycleInput::PADDING` comment generalised.
  - specs/native-field-registers.md — dropped the "five-phase port plan"
    framing and the references to the deleted `fr-v2-port-plan.md`.

No code/protocol changes.
…ed FR Twist

Closes the soundness gap where a malicious prover could smuggle wrong FR
arithmetic by dropping FR events for cycles whose bytecode says FieldMul
etc. — leaving FrRs1Ra/FrRs2Ra/FrdWa = 0 at the bound point while R1CS
rows accept V_FIELD_RS1/RS2/RD = 0 (trivially: 0·0 = 0 = 0).

The fix has two layers:

1. **Bytecode-anchored FR slot indicators** (extends v2 audit C7).
   `FrCycleBytecode` gains a `writes_frd: bool` field. Stage 4 FR Twist
   sparse setup, Stage 5 `frd_wa_at_field_reg_address`, and the host R1CS
   witness populators (`populate_r1cs_fr_slots`,
   `populate_fr_cycle_fields`) all source the write slot from `bc.frd`
   (committed via bytecode preprocessing) rather than `event.frd`
   (uncommitted prover input). Both reads and writes gate on `bc.{reads_frs1,
   reads_frs2, writes_frd}` alone — not `event.rd_written` — so the FR Twist
   polynomials reflect every bytecode-active FR cycle, regardless of
   whether the event sets `rd_written`. When new == old (rare new==old
   case), `FrdInc[j] = 0` keeps FieldRegVal accumulation unchanged.

2. **Stage 6 bytecode-RAF FR binding** (the new sumcheck-level fix).
   `Stage6BytecodeEntry` is extended with `{frd, frs1, frs2, reads_frs1,
   reads_frs2, writes_frd}` fields, derived in `stage6_bytecode_entries`
   from FR-active instruction kinds. The Stage 6 bytecode-RAF formula
   gains a 6th stage `stage_fr` with its own FR Twist cycle point
   (`stage6.input.stage4.field_reg_rw.FrRs1Ra` suffix) and a fresh
   `stage_fr_gamma` batching scalar. Per-entry value contributes
   `γ_fr⁰·writes_frd·register_eq(frd, r_addr_fr) + γ_fr¹·reads_frs1·
   register_eq(frs1, r_addr_fr) + γ_fr²·reads_frs2·register_eq(frs2,
   r_addr_fr)`. Weighted by γ⁵ in the outer bytecode-RAF formula, summed
   over (k_bc, j_cycle) with `Ra_bc(k, j)·eq(stage_cycle_fr, j)` it
   reproduces the FR Twist's combined opening evaluation for honest
   provers. For malicious "drop event" attacks, the bytecode-derived
   value is non-zero while the FR Twist's opening is 0 → Schwartz-Zippel
   rejects with overwhelming probability.

`Stage6BytecodeEntry` field propagation: jolt-witness, jolt-kernels,
jolt-prover, jolt-verifier, Bolt emit templates, and the verifier-common
template all carry the new FR fields through. The bytecode-RAF claim
formula picks up three new terms (FrdWa/FrRs1Ra/FrRs2Ra openings) and
one new transcript squeeze (`stage_fr_gamma`); Bolt MLIR codegen
(`phases/stage6.rs`) and goldens regenerated accordingly. Bolt
`commitment_ir` opening_inputs count goes 91 → 94; transcript_squeezes
9 → 10; steps 10 → 11.

Validation:
- 81/81 jolt-witness + jolt-kernels unit tests pass.
- 53/53 bolt commitment_ir tests pass after JOLT_UPDATE_GOLDENS=1 regen.
- bn254-fr-poseidon2-sdk e2e (modular prove + verify) passes end-to-end.
- clippy clean on jolt-witness, jolt-kernels, jolt-host, jolt-prover,
  jolt-verifier.

Perf: adds one extra T-cycle stage_factor accumulation (negligible vs
existing 5 stage_factors), 3 extra opening evaluations folded into the
existing batched Stage 8 opening (zero PCS overhead), and one extra
transcript squeeze. Estimated <1% prove-time overhead.
…ay-event rejection, sparse-state unit tests

- Add `FIELD_REG_ADDR_MASK` constant; replace 10 literal `& 0xF` sites across
  jolt-witness::field_reg and jolt-host (fr_bytecode_from_trace,
  populate_r1cs_fr_slots, populate_fr_cycle_fields).
- Add `STAGE67_BYTECODE_STAGE_COUNT = 6` constant in jolt-verifier and the
  bolt template; replace 6 magic `; 6]` array sizes mirroring the prover's
  `BYTECODE_READ_RAF_STAGE_COUNT`.
- Stage 5 `frd_wa_at_field_reg_address`: add `is_power_of_two` precondition
  matching the Stage 4 sparse guard.
- Stage 4 `SparseFieldRegState::new`: reject events whose bytecode row has
  no FR access flag set (was silently dropped — defense-in-depth against
  tracer/preprocessing classification drift).
- Refresh stale doc comments on `Stage4FieldRegWitness` and
  `Stage5FieldRegValWitness` that claimed K_FR × T materialization; the
  sparse path is the only path on this branch.
- Add 7 FR-Twist unit tests (`stage4::tests::field_reg`) that exercise
  sparse-state population, alias coalescing, monotonic-event enforcement,
  power-of-two address space, bytecode-mismatch rejection, and
  Stage 4 ↔ Stage 5 FrdWa agreement on honest replays + asymmetry on
  event-dropped replays (the soundness path Stage 6's anchor relies on).
…elper

Replace the two open-coded match statements (host-side
`fr_bytecode_from_trace`, kernel-side `stage6_bytecode_entries`) with a
single canonical `JoltInstructionKind::fr_access_flags()` helper. The
prior duplication was the path to silent drift between the Stage 4 FR
Twist's bytecode flags and the Stage 6 bytecode-RAF anchor's flags — a
LOW-severity defense-in-depth gap surfaced by the post-merge audit.

Also routes the remaining `& 0xF` in `stage6_bytecode_entries` through
the new `FIELD_REG_ADDR_MASK` constant.

Adds `fr_access_flags_match_per_kind_contract` unit test in jolt-riscv
that pins the per-kind flag table so any future change to FR
instruction semantics must explicitly update both the helper and the
test.
…idon2 host with --backend flag

Two prior examples — `bn254-fr-poseidon2-sdk` (FR coprocessor via the
inline SDK) and `bn254-fr-poseidon2-arkworks` (software ark_bn254::Fr
baseline) — duplicated a host binary each while differing only in
which guest crate they linked. The audit flagged the `-sdk` suffix as
miscategorized (every example "uses an SDK") and the `-arkworks`
suffix as a dependency name, not a role.

Collapse to one `examples/bn254-poseidon2/` host crate that takes
`--backend inline|native` and dispatches to the inline-guest or
native-guest sub-crate accordingly. Drop the redundant `-fr` segment
(BN254 + Poseidon2 already implies the scalar field) so the user-
facing crate name and CLI usage stay short:

  cargo run -p bn254-poseidon2 -- --backend inline   # FR coprocessor (default)
  cargo run -p bn254-poseidon2 -- --backend native   # software ark Fr baseline

Function names follow:
- `fr_poseidon2_sdk`     → `bn254_poseidon2_inline`
- `fr_poseidon2_arkworks` → `bn254_poseidon2_native`

Both backends prove + verify cleanly through the unified host driver
(2.87 s inline / 3.63 s native at log_T = 18, in line with prior
standalone measurements).
… share

`FieldRegReplay::materialize_frd_inc::<F>()` walks the full trace
(O(T) cycles + per-FR-event Fr conversion) to produce a T-sized
increment polynomial. Previously called twice — once inside Stage 4
`SparseFieldRegState::new` and once inside Stage 5's
`field_reg_val_evaluation_state` — even though both stages consume
the same vector.

Move the materialization into `Stage45SparseTraceWitness::with_field_reg_replay`
so it runs once per proof. Stage 4's `SparseFieldRegState::new` and
Stage 5's val-evaluation builder now clone-from-slice into their own
mutable working buffers (each stage binds the polynomial in place
during sumcheck rounds, so the clones are unavoidable). Net work:
1 materialize + 2 clones instead of 2 materializes.

Impact scales with T. At log_T = 18 (Poseidon2 example) the win is
sub-millisecond and invisible against run-to-run noise. At production
T = 2^30 the saved materialize is on the order of tens of seconds
(T-cycle scan + per-event `limbs_to_field` calls), against memcpy-
bounded clones — meaningful enough to pay back the +24 LOC complexity.

Threads `F` generic through `Stage4FieldRegWitness` and
`Stage5FieldRegValWitness` (previously `<'a>` only). The kernel
fallback path (empty `frd_inc_source`) keeps the old materialize-
locally behavior for unit tests that bypass the shared witness.
…_chunk_by

Brings the FR Twist hot loop to parity with the integer Twist's
parallelization (commit 2b5a... era). Both paths previously used the
same `DENSE_BIND_PAR_THRESHOLD` gate; only the integer side actually
shelled out to Rayon. FR was a single-threaded `while`-loop, which
becomes a prover-time bottleneck at production trace lengths where
FR-active entries scale linearly with T (Poseidon2-class workloads
emit ~3 entries per FR-active cycle; at T=2^30 with high FR density
that's ~10^9 entries × log T sumcheck rounds on one core).

Two hot paths gain parallelism:

1. `sparse_field_reg_split_round_coefficients` — split into
   `_low_round` / `_high_round` mirroring the integer side. Each
   shells out to `par_chunk_by` with the appropriate predicate
   (outer x_out chunking for low rounds, pair-level for high rounds)
   and reduces per-chunk accumulators. Helpers
   `accumulate_sparse_field_reg_{low_outer_chunk, row_pair_chunk,
   pair_at_cursor}` factor the per-pair body so it can be invoked
   from both serial and parallel code paths.

2. `bind_sparse_field_reg_entries_into` — switches to the same
   `pair_ranges` → `bound_lengths` → `spare_capacity_mut` slicing →
   parallel per-pair bind pattern the integer Twist uses. Adds
   helpers `sparse_field_reg_pair_ranges`,
   `sparse_field_reg_row_pair_bound_len`,
   `bind_sparse_field_reg_row_pair_into` (writes into
   `&mut [MaybeUninit<…>]`), and `bind_sparse_field_reg_entry_pair`.
   Sequential `bind_sparse_field_reg_entries_sequential_into` retains
   the prior behavior for sub-threshold entry counts.

Below `DENSE_BIND_PAR_THRESHOLD` (sub-thousand entries — Poseidon2 at
log_T=16 sits well below) the sequential path runs and behavior is
byte-identical to the pre-change kernel. Above threshold (production
shapes) the parallel path engages. Full kernels test suite + Poseidon2
end-to-end prove + verify stay green; no functional change.
Single FR spec, cleaned for the as-shipped state:

- Drop the internal "Execution" section (early-sketches notes,
  originally-planned helpers) — milestone history that doesn't belong
  in a design doc.
- Drop follow-ups that are now done (the
  `stage4_field_reg_rw_proves_synthetic_events` test landed; replaced
  with the actual `stage4::tests::field_reg` coverage in the testing
  section).
- Add the Stage 6 bytecode-RAF anchor as a first-class invariant and
  architecture step (`stage_fr = γ_fr·writes_frd·register_eq(frd) +
  γ_fr²·reads_frs1·register_eq(frs1) + γ_fr³·reads_frs2·register_eq(frs2)`)
  — this is the load-bearing drop-event soundness mechanism and was
  missing from the previous version.
- Document the shared classifier `JoltInstructionKind::fr_access_flags`
  and the `FIELD_REG_ADDR_MASK` / `STAGE67_BYTECODE_STAGE_COUNT`
  constants that replace the prior open-coded literals.
- Reflect the cached `Stage45SparseTraceWitness.fr_frd_inc` (Stage 4
  and Stage 5 share the single materialization) and the Rayon
  parallel path in Stage 4 round-poly + bind.
- Reframe the generalization non-goal as "BN254 Fr only by default,
  but the Stage 3/4/5 kernels are F-generic — see follow-up 5 for the
  pinned bits that block adding a second native-aligned field".
- Tighten file:line citations to module-level references (less rot).

Net 207 → ~98 lines smaller / ~109 lines added; same length, less
internal history, more design fidelity.
…uting

Two accuracy gaps in the previous spec revision:

1. ISA description treated `FieldOp` as a single `JoltInstructionKind`
   variant gated on funct3. The actual implementation splits into four
   distinct variants — `FieldMul`, `FieldAdd`, `FieldSub`, `FieldInv` —
   so the R1CS / sumcheck layers route per-kind constraints without
   re-decoding funct3. Update the ISA bullet to enumerate the variants
   and note the rationale for the split.

2. The R1CS architecture bullet listed "13 new eq-constraint rows"
   without describing the FMUL/FINV product-gate routing. Rows 26–31
   bind Fr operands through the canonical `V_LEFT × V_RIGHT = V_PRODUCT`
   gate at row 36 (FMUL: V_LEFT=RS1, V_RIGHT=RS2, V_PRODUCT=RD;
   FINV: V_LEFT=RS1, V_RIGHT=RD, V_PRODUCT=1). FieldAdd/FieldSub use
   direct linear rows; FieldMov / FieldSLL{64,128,192} bind
   `V_FIELD_RD = V_RS1_VALUE · 2^k`. Document all three.

Also fix `field_op.rs` reference (was renamed to `field_inv.rs` post-
split) and the SDK pass-2 description (replaces "1 FieldOp" with
"1 native FieldMul/Add/Sub/Inv").
- bn254-poseidon2 (host) doesn't import jolt-inlines-bn254-fr; the
  inline-guest sub-crate does.
- jolt-inlines/bn254-fr no longer needs tracer as a dev-dep (no test
  in the crate uses it).
…checks

The bolt verifier_cleanup test gate enforces (a) an allowlist of Jolt
protocol symbol strings present in the checked-in generated verifier and
its MLIR fixtures, and (b) a target LOC budget for the generated verifier
surface. Both need to grow to account for the four FR sumcheck
instances introduced by the BN254 Fr coprocessor work.

Allowlist adds (alphabetic insertion):
- jolt.stage3.field_reg_claim_reduction
- jolt.stage4.field_reg_rw
- jolt.stage4_field_reg_rw_domain
- jolt.stage5.field_reg_val_evaluation

LOC target: 6050 → 6250 (current verifier surface 6209 + ~40 headroom;
covers the Stage 3/4/5/6 FR claim wiring without leaving slack for
unintended growth).

Also rephrases the STAGE67_BYTECODE_STAGE_COUNT doc comment to drop
the literal "jolt_kernels::" substring (tripped the verifier's
"non-audit role imports" rule against the verifier file containing
references to the prover-side `jolt_kernels` path).
…iverge

modular R1CS has 47 inputs (3 V_FIELD_* slots + 9 FR OpFlags atop the
35 jolt-core inputs) since commit 091f8f5. Stage 1 outer Spartan
still matches jolt-core because the cross-stack test threads jolt-core
shape (`fixture.stage1_outer_rv64_data`) into both provers. Stage 2
diverges because the modular prover commits its full 47-input shape;
the resulting transcript state differs from jolt-core's at Stage 2's
uniskip round 0.

Mark `bolt_stage2_product_uniskip_real_muldiv_matches_jolt_core` and
`bolt_stage2_batched_real_muldiv_self_parity` with `#[ignore]` and a
reason citing the divergence root cause. Re-enable once either:
- jolt-core is extended to mirror the FR R1CS columns, or
- the cross-stack parity oracle moves to a modular-only fixture
  whose witness shape matches modular's prover.

The third Stage 3 parity test (line 316) was already ignored upstream
with a similar follow-up note. No prover/verifier behavior change.
@github-actions github-actions Bot added spec Tracking issue for a feature spec implementation PR contains implementation of a spec labels May 18, 2026
Two CI regressions from the prior commit:

1. `common.rs` had two extra blank lines after the FR-trait block —
   introduced by the `jolt_kernels::` substring fix in 646e725 and
   not picked up because the fmt sweep ran before that edit. `cargo
   fmt` removes them.

2. `taplo fmt --check` is part of the rust workflow but wasn't run
   locally; the bn254-fr and tracer Cargo.toml files were not in taplo's
   canonical multi-line array form. `taplo fmt` rewrites the two affected
   `ark-bn254` dependency declarations.
Two more CI regressions:

1. `field_assert_eq_on_mismatched_values_panics` runs `cargo nextest
   run --release -p tracer` in CI, but the panic it asserts is a
   `debug_assert_eq!` (consistent with the `frs1`/`frs2` range checks
   beside it; soundness for FAssertEq is enforced in R1CS row 21, not
   the tracer trap). Release builds elide the assert, so the
   `#[should_panic]` test fails. Gate on `cfg(debug_assertions)` so it
   only runs where the assert actually fires.

2. The previous fmt fix (`f08803002`) removed two stale blank lines
   from the generated `crates/jolt-verifier/src/stages/common.rs` but
   not from its source template
   `crates/bolt/src/protocols/jolt/verifier_common.rs.template`. The
   `generated_jolt_artifacts_have_uniform_crate_layout_and_import_rules`
   test regenerates `common.rs` from the template and compares to the
   checked-in file; mismatch on the blank lines caused the failure.
   Sync the template to match the formatted output.
@sagar-a16z sagar-a16z force-pushed the sagar/fr-coprocessor-v2-port branch 2 times, most recently from e3149a8 to 167486a Compare May 20, 2026 15:47
…R coprocessor benchmark

The Poseidon2 example was the previous standard test workload for the
BN254 Fr coprocessor, but the team flagged it as too domain-specific —
its cycle profile is dominated by round-constant loads + MDS matmul
structure that has nothing to do with generic Fr arithmetic. Replaces
it with a clean equality-MLE evaluation workload that exercises a
balanced mix of `Fr::mul / Fr::sub / Fr::add` against the coprocessor.

Workload: `eq(r, x) = ∏ᵢ (rᵢ·xᵢ + (1−rᵢ)·(1−xᵢ))` for r, x ∈ Fr^32,
generated deterministically from a `seed: u64` via a 2-word LCG that
keeps the high limbs zero (so `Fr::from_limbs` and ark's
`from_le_bytes_mod_order` represent the same logical field element).

Op mix per run: 96 mul + 64 sub + 32 add = 192 Fr ops. K=32 is sized so
the software-Fr native backend still fits within the goldens-baked 2^18
trace ceiling.

Measurements (seed 0x5EEDC0DE):

| Backend | guest_riscv_cycles | prove | verify |
|---|---:|---:|---:|
| inline (FR coprocessor)   |  10,456 | 2.29 s | 0.17 s |
| native (ark Montgomery)   | 158,419 | 2.90 s | 0.17 s |

~15× cycle reduction from the FR coprocessor on this clean tight-chain
workload. Outputs match exactly between backends; both proofs verify.

Spec docs in `specs/native-field-registers.md` still reference the old
example name — left alone since a separate followup will move Poseidon2
into the inline SDK proper.
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